Search a number
-
+
132361929 = 3272100983
BaseRepresentation
bin1111110001110…
…10111011001001
3100020001200102200
413320322323021
5232341040204
621044550413
73165025560
oct770727311
9306050380
10132361929
1168795527
12383b2409
132156488b
1413816bd7
15b948539
hex7e3aec9

132361929 has 12 divisors (see below), whose sum is σ = 218502336. Its totient is φ = 75635352.

The previous prime is 132361927. The next prime is 132361937. The reversal of 132361929 is 929163231.

It is a happy number.

132361929 is a `hidden beast` number, since 1 + 32 + 3 + 619 + 2 + 9 = 666.

It is not a de Polignac number, because 132361929 - 21 = 132361927 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 132361893 and 132361902.

It is not an unprimeable number, because it can be changed into a prime (132361927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1050429 + ... + 1050554.

It is an arithmetic number, because the mean of its divisors is an integer number (18208528).

Almost surely, 2132361929 is an apocalyptic number.

It is an amenable number.

132361929 is a deficient number, since it is larger than the sum of its proper divisors (86140407).

132361929 is a wasteful number, since it uses less digits than its factorization.

132361929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100996 (or 2100993 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 132361929 is about 11504.8654490176. The cubic root of 132361929 is about 509.6292692115.

The spelling of 132361929 in words is "one hundred thirty-two million, three hundred sixty-one thousand, nine hundred twenty-nine".

Divisors: 1 3 7 9 21 63 2100983 6302949 14706881 18908847 44120643 132361929